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Finding the Fourth Proportional to 9,561.94, 14,322.14 and 4,621.22

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Solution

The fourth proportional to 9,561.94, 14,322.14 and 4,621.22 is: 6,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.94 : 14,322.14 = 4,621.22 : x
  2. Step 2: Convert to fraction form
    9,561.94/14,322.14 = 4,621.22/x
  3. Step 3: Cross multiply
    9,561.94x = 14,322.14 × 4,621.22
  4. Step 4: Simplify right side
    9,561.94x = 66,185,749.13
  5. Step 5: Solve for x
    x = 66,185,749.13/9,561.94
  6. Step 6: Final answer
    x = 6,921.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.